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Finding the Third Proportional to 266,004 and 583,686

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Solution

The third proportional to 266,004 and 583,686 is: 1,280,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004 : 583,686 = 583,686 : x
  2. Step 2: Convert to fraction form
    266,004/583,686 = 583,686/x
  3. Step 3: Cross multiply
    266,004x = 583,686 × 583,686
  4. Step 4: Simplify right side
    266,004x = 340,689,346,596
  5. Step 5: Solve for x
    x = 340,689,346,596/266,004
  6. Step 6: Final answer
    x = 1,280,767.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.